If X is a uniform random variable on [1..n] and Pr[2≤X≤8]=1/3 , then what is n?...

Question

Question

If X is a uniform random variable on [1..n] and Pr[2≤X≤8]=1/3 , then what is n?

It's not 22, not 19, not 8. what is the answer??

Answer 1

Answer #1

TOPIC:Discrete Uniform distribution.

Given that, Xn Discrete unifon . The pinf of x is - P(x+2) = { “ ; for, z=1,2,--,N . ; otherwise. Now, that, = Pro [25 x 88 =

Answer 2

Similar Homework Help Questions

1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778....

1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8). 1. Let X~b(x; n, p) (a) For n 6, p...
Let X be a discrete random variable. If Pr(X<10) = 1/8, and Pr(X<=10) = 3/16, then...

Let X be a discrete random variable. If Pr(X<10) = 1/8, and Pr(X<=10) = 3/16, then what is Pr(X=10)? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12).
Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes...

Find Pr[2 5B(15,.1) <3] . That is, if X is a binomial random variable counting successes on n=15 Bernoulli trials with p=.1, find the probability that x is between 2 and 3, inclusive. O A.0.3954 O B. 0.1286 O c.1.7604 O d. 0.4383 O E.0.1714

Let X be a discrete random variable. If Pr(X<9) = 2/9, and Pr(X<=9) = 6/18, then...

Let X be a discrete random variable. If Pr(X<9) = 2/9, and Pr(X<=9) = 6/18, then what is Pr(X=9)? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12
4.13 Let N be a geometric random variable with parameter p - 1/3. Calculate Pr[N s...

4.13 Let N be a geometric random variable with parameter p - 1/3. Calculate Pr[N s 2], PrN-2|, and PrN22
(3) I claim that one can generate a Uniform([0,1]) random variable, by uniformly and independently generating...

(3) I claim that one can generate a Uniform([0,1]) random variable, by uniformly and independently generating its binary digits. To this end, consider random variables Xk that are independent with P(X0) and P(X2 (a) Find the MGF of each Xk and thence that of Xi+ X2+ ...+X (b) Simplify your answer using an observation such as the following: For N 2, (1 +2)(122)(1+z4) (1 8).. (1+ zN) - 1+ 2 + 22 2324 2 220-1 22N This is easily checked...

Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2,...

Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2, 3, and 4. Then, 1) P(X = 3) = (correct to 2 decimal). 2) P(X S 3) = (correct to 2 decimal) 3) P(X > 3) = (correct to 2 decimal) 4) P(2 < X < 4) = (correct to 1 decimal) (b) Suppose Y is a random variable having Binomial distribution with parameters n = 10 and p = 0.5. Find (1) P(Y...
Let X denote a discrete random variable with pmf of px (1) 75 and pr (2)...

Let X denote a discrete random variable with pmf of px (1) 75 and pr (2) = .25. When the random variable X is transmitted, the
Given a binomial random variable with n = 100 and p = 0.7, estimate the Pr[X...

Given a binomial random variable with n = 100 and p = 0.7, estimate the Pr[X ≤ 80]

Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3.. A) Compute Mx(t)...

Let x be a discrete random variable with PR mass function f(x)=2(1/3)^x, x=1,2,3.. A) Compute Mx(t) B) Compute M'1=EX, M'2=EX^2